Mathematical Models for Society and Biology Book

Mathematical Models for Society and Biology

  • Author : Edward Beltrami
  • Publisher : Academic Press
  • Release Date : 2013-06-19
  • Genre: Social Science
  • Pages : 288
  • ISBN 10 : 9780124046931
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Mathematical Models for Society and Biology, 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology, 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable. Also new to this edition is an introduction to mathematical notions that every quantitative scientist in the biological and social sciences should know. Additionally, each chapter now includes a detailed discussion on how to formulate a reasonable model to gain insight into the specific question that has been introduced. Offers 40% more content – 5 new chapters in addition to revisions to existing chapters Accessible for quick self study as well as a resource for courses in molecular biology, biochemistry, embryology and cell biology, medicine, ecology and evolution, bio-mathematics, and applied math in general Features expanded appendices with an extensive list of references, solutions to selected exercises in the book, and further discussion of various mathematical methods introduced in the book

Mathematical Models in Biology Book

Mathematical Models in Biology

  • Author : Leah Edelstein-Keshet
  • Publisher : SIAM
  • Release Date : 1988-01-01
  • Genre: Mathematics
  • Pages : 629
  • ISBN 10 : 0898719143
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Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

A Primer in Mathematical Models in Biology Book

A Primer in Mathematical Models in Biology

  • Author : Lee A. Segel
  • Publisher : SIAM
  • Release Date : 2013-05-09
  • Genre: Science
  • Pages : 435
  • ISBN 10 : 9781611972498
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A textbook on mathematical modelling techniques with powerful applications to biology, combining theoretical exposition with exercises and examples.

Mathematical Models in Biology Book
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Mathematical Models in Biology

  • Author : Elizabeth S. Allman
  • Publisher : Cambridge University Press
  • Release Date : 2004
  • Genre: Mathematics
  • Pages : 388
  • ISBN 10 : 0521525861
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This introductory textbook on mathematical biology focuses on discrete models across a variety of biological subdisciplines. Biological topics treated include linear and non-linear models of populations, Markov models of molecular evolution, phylogenetic tree construction, genetics, and infectious disease models. The coverage of models of molecular evolution and phylogenetic tree construction from DNA sequence data is unique among books at this level. Computer investigations with MATLAB are incorporated throughout, in both exercises and more extensive projects, to give readers hands-on experience with the mathematical models developed. MATLAB programs accompany the text. Mathematical tools, such as matrix algebra, eigenvector analysis, and basic probability, are motivated by biological models and given self-contained developments, so that mathematical prerequisites are minimal.

Mathematical Biology Modeling and Analysis Book

Mathematical Biology Modeling and Analysis

  • Author : Avner Friedman
  • Publisher : American Mathematical Soc.
  • Release Date : 2018-06-14
  • Genre: Biology
  • Pages : 100
  • ISBN 10 : 9781470447151
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The fast growing field of mathematical biology addresses biological questions using mathematical models from areas such as dynamical systems, probability, statistics, and discrete mathematics. This book considers models that are described by systems of partial differential equations, and it focuses on modeling, rather than on numerical methods and simulations. The models studied are concerned with population dynamics, cancer, risk of plaque growth associated with high cholesterol, and wound healing. A rich variety of open problems demonstrates the exciting challenges and opportunities for research at the interface of mathematics and biology. This book primarily addresses students and researchers in mathematics who do not necessarily have any background in biology and who may have had little exposure to PDEs.

A Course in Mathematical Biology Book

A Course in Mathematical Biology

  • Author : Gerda de Vries
  • Publisher : SIAM
  • Release Date : 2006-07-01
  • Genre: Mathematics
  • Pages : 309
  • ISBN 10 : 9780898718256
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This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Mathematical Modeling of Biological Systems Volume II Book

Mathematical Modeling of Biological Systems Volume II

  • Author : Andreas Deutsch
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-11-07
  • Genre: Computers
  • Pages : 416
  • ISBN 10 : STANFORD:36105129851379
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This edited volume contains a selection of chapters that are an outgrowth of the - ropean Conference on Mathematical and Theoretical Biology (ECMTB05, Dresden, Germany, July 2005). The peer-reviewed contributions show that mathematical and computational approaches are absolutely essential to solving central problems in the life sciences, ranging from the organizational level of individual cells to the dynamics of whole populations. The contributions indicate that theoretical and mathematical biology is a diverse and interdisciplinary ?eld, ranging from experimental research linked to mathema- cal modelling to the development of more abstract mathematical frameworks in which observations about the real world can be interpreted and with which new hypotheses for testing can be generated. Today, much attention is also paid to the development of ef?cient algorithms for complex computations and visualization, notably in molecular biology and genetics. The ?eld of theoretical and mathematical biology and medicine has profound connections to many current problems of great relevance to society. The medical, industrial, and social interests in its development are in fact undisputable. Insights and predictions from mathematical modelling are used increasingly in de- sion support in medicine (e.g., immunology and spread of infectious diseases, cancer research, cardiovascular research, neurological research, optimization of medical tre- ments,imaging),environmentalandnaturemanagement,climateproblems,agriculture and management of natural resources. Fast developments in areas such as biotechn- ogy (e.g., genome projects, genetic modi?cation, tissue engineering) continue to add new focal points of activity to the ?eld. The contributions of this volume capture some of these developments.

Mathematical Modeling of Biological Systems Volume I Book

Mathematical Modeling of Biological Systems Volume I

  • Author : Andreas Deutsch
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-06-15
  • Genre: Mathematics
  • Pages : 382
  • ISBN 10 : 9780817645588
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Volume I of this two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. The chapters are thematically organized into the following main areas: cellular biophysics, regulatory networks, developmental biology, biomedical applications, data analysis and model validation. The work will be an excellent reference text for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics.

Mathematical Models in Biological Discovery Book

Mathematical Models in Biological Discovery

  • Author : D.L. Solomon
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-13
  • Genre: Mathematics
  • Pages : 242
  • ISBN 10 : 9783642930577
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When I was asked to help organize an American Association for the Advancement of Science symposium about how mathematical models have con tributed to biology, I agreed immediately. The subject is of immense importance and wide-spread interest. However, too often it is discussed in biologically sterile environments by "mutual admiration society" groups of "theoreticians", many of whom have never seen, and most of whom have never done, an original scientific experiment with the biolog ical materials they attempt to describe in abstract (and often prejudiced) terms. The opportunity to address the topic during an annual meeting of the AAAS was irresistable. In order to try to maintain the integrity ;,f the original intent of the symposium, it was entitled, "Contributions of Mathematical Models to Biological Discovery". This symposium was organized by Daniel Solomon and myself, held during the 141st annual meeting of the AAAS in New York during January, 1975, sponsored by sections G and N (Biological and Medical Sciences) of the AAAS and the North American Regions of the Biometric Society, and supported by grant BMS 75-0280) from the National Science Foundation. What follows in this volume are papers by nine of the participants who not only felt that they had something to say in a symposium entitled, "Contributions of Mathematical Models to Biological Discovery", but who falso were willing to record their ideas in more detail here.

Mathematical Models of Social Evolution Book

Mathematical Models of Social Evolution

  • Author : Richard McElreath
  • Publisher : University of Chicago Press
  • Release Date : 2008-09-15
  • Genre: Social Science
  • Pages : 432
  • ISBN 10 : 9780226558288
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Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.

Mathematical Models in Developmental Biology Book

Mathematical Models in Developmental Biology

  • Author : Jerome K. Percus
  • Publisher : American Mathematical Soc.
  • Release Date : 2015-06-19
  • Genre: Developmental biology
  • Pages : 249
  • ISBN 10 : 9781470410803
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The path from relatively unstructured egg to full organism is one of the most fascinating trajectories in the biological sciences. Its complexity calls for a very high level of organization, with an array of subprocesses in constant communication with each other. These notes introduce an interleaved set of mathematical models representative of research in the last few decades, as well as the techniques that have been developed for their solution. Such models offer an effective way of incorporating reliable data in a concise form, provide an approach complementary to the techniques of molecular biology, and help to inform and direct future research. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

A Course in Mathematical Biology Book

A Course in Mathematical Biology

  • Author : Gerda de Vries
  • Publisher : SIAM
  • Release Date : 2006-07-01
  • Genre: Mathematics
  • Pages : 307
  • ISBN 10 : 9780898716122
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This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Mathematical Biology II Book

Mathematical Biology II

  • Author : James D. Murray
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-02-15
  • Genre: Mathematics
  • Pages : 834
  • ISBN 10 : 9780387952284
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This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS

A Primer in Mathematical Models in Biology Book

A Primer in Mathematical Models in Biology

  • Author : Lee A. Segel
  • Publisher : SIAM
  • Release Date : 2013-01-01
  • Genre: Biology
  • Pages : 424
  • ISBN 10 : 9781611972504
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This textbook introduces differential equations, biological applications, and simulations and emphasizes molecular events (biochemistry and enzyme kinetics), excitable systems (neural signals), and small protein and genetic circuits. A Primer on Mathematical Models in Biology will appeal to readers because it grew out of a course that the popular and highly respected applied mathematician Lee Segel taught at the Weizmann Institute and it represents his unique perspective; combines clear and useful mathematical methods with applications that illustrate the power of such tools; and includes many exercises in reasoning, modeling, and simulations.

Mathematical Models of Biological Systems Book

Mathematical Models of Biological Systems

  • Author : Hugo van den Berg
  • Publisher : OUP Oxford
  • Release Date : 2010-11-25
  • Genre: Science
  • Pages : 0
  • ISBN 10 : 0199582181
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This interdisciplinary textbook provides a practical introduction to basic mathematical modelling methodology and analysis. It covers a variety of biological applications and uses these topics in turn to highlight key components in the art of modelling.